Completeness of eigenfunctions of one class of pencils of differential operators with constant coefficients

DOI10.3103/S1066369X09060061zbMath1190.34109MaRDI QIDQ735970

Victor S. Rykhlov

Publication date: 26 October 2009

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigen- and associated functionspencil of differential operatorssimple and multiple completeness of the system of eigenfunctions

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (6)

Multiple completeness of the root functions for a certain class of ordinary differential pencils with constant coefficients ⋮ Multiple completeness of the root functions for a certain class of pencils of ordinary differential operators ⋮ Multiple completeness of the root functions for a certain class of pencils of ordinary differential operators with constant coefficients ⋮ On spectral synthesis for dissipative Dirac type operators ⋮ Irregular boundary value problems revisited ⋮ On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations

Cites Work

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• Zur Vollständigkeit des Systems der Eigenfunktionen und Hauptfunktionen irregulärer Operatorbüschel
• Zur Vollständigkeit des Biorthogonalsystems von Eigenfunktionen irregulärer Eigenwertprobleme
• Factorization of a weakly hyperbolic bundle
• On completeness of eigenfunctions of quadratic bundles of ordinary differential operators
• Finite-dimensional perturbations of Volterra operators

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